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Duality in fuzzy linear programming based on fuzzy relations

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27510%2F03%3A00007633" target="_blank" >RIV/61989100:27510/03:00007633 - isvavai.cz</a>

  • Alternative codes found

    RIV/47813059:19520/03:00000017

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Duality in fuzzy linear programming based on fuzzy relations

  • Original language description

    In this paper a class of fuzzy linear programming (FLP) problems based on fuzzy relations is introduced, the concepts of feasible and alpha-efficient solutions are defined. It is shown that the class of crisp (classical) LP problems and interval LP problems can be embedded into the class of FLP ones. Moreover, for FLP problems a new concept of duality is introduced and the weak and strong duality theorems are derived. The previous results are applied to the special case of interval LP and compared to the existing literature.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA201%2F01%2F0343" target="_blank" >GA201/01/0343: Linear optimization problems with inexact data</a><br>

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2003

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Proceedings of the IFSA 2003 Congress

  • ISBN

    80-213-1046-4

  • ISSN

  • e-ISSN

  • Number of pages

    5

  • Pages from-to

    20-25

  • Publisher name

    IFSA, Bogazici University Istanbul

  • Place of publication

    Istambul, Turecká republika

  • Event location

    Istambul, hotel Hilton

  • Event date

    Jul 30, 2003

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article